Question

a quadratic polynomial for which sum and product of zeroes are 4 and 4​

Answer 1

Step-by-step explanation:

Let α and β are zeros of required quadratic polynomial.

⇒ α+β=4 ---- ( 1 ) [ given ]

⇒ αβ=1 ----- ( 2 ) [ Given ]

The required polynomial,

x

2

−(α+β)x+(αβ)=0

Now, using ( 1 ) and ( 2 )

⇒ x

2

−4x+1=0